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Finding the Fourth Proportional to 73,739, 101,759.82 and 40,205

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Solution

The fourth proportional to 73,739, 101,759.82 and 40,205 is: 55,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,739 : 101,759.82 = 40,205 : x
  2. Step 2: Convert to fraction form
    73,739/101,759.82 = 40,205/x
  3. Step 3: Cross multiply
    73,739x = 101,759.82 × 40,205
  4. Step 4: Simplify right side
    73,739x = 4,091,253,563.10
  5. Step 5: Solve for x
    x = 4,091,253,563.10/73,739
  6. Step 6: Final answer
    x = 55,482.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.